Question

to help the plants in his garden grow, andrew decides to start composting. he wants to build a compost box in the shape of a rectangular prism that holds 30 gallons, or 6,930 cubic inches, of compost. he wants the box to be 40 inches long to fit perfectly alongside his shed. the height of the box will be equal to its width. which equation can you use to find the width of the compost box? 6,930·40 = w·w 6,930 = 40·w·w to the nearest tenth of an inch, what is the width of the compost box? inches

Explanation:

Step1: Volume formula for rectangular prism

Volume = length×width×height. Given length=40, height=width=w, volume=6930. So 6930=40·w·w.

Step2: Solve for w²

w²=6930/40=173.25

Step3: Calculate w

w=√173.25≈13.16≈13.2

Answer:

6,930 = 40·w·w
13.2 inches